Force Equilibrium: Torque Equilibrium: Do Maths

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Presentation transcript:

Force Equilibrium: Torque Equilibrium: Do Maths Draw Picture/Draw Arrows for forces Calculate weights Express/calculate components Set up a <sum of all forces> = 0 equation for x and another for the y direction Torque Equilibrium: Pick a Pivot Point (at location of unknown force) Express all torques: ±rF ± rF ± rF… = 0 + is CW, - is ACW r is distance from pivot Do Maths

The beam is 6. 0 m long, 45 kg and uniform. The person is standing 0 The beam is 6.0 m long, 45 kg and uniform. The person is standing 0.50 m from the right side, and F2 is 4.0 m from the left side. Find F1 and F2 64.0 kg F1 F2 F1 = 125.08 N down, F2 = 1194.4 N up

The beam is uniform and 4. 00 m long, the cable is attached 2 The beam is uniform and 4.00 m long, the cable is attached 2.30 m from the left side at a 30.0o angle with the beam. Find T, Wx, Wy 12.0 kg 5.00 kg T = 375 N, Wx = 325 N right, Wy = 20.9 N down

Find T, Wx, Wy 5.0 m 85 kg 58o 1.0 m 350 kg 12.0 m 2655.3 N, 1407.1 N right, 2015.5 N up

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Beam is 18. 0 m long, person is 5. 0 m from the right side Beam is 18.0 m long, person is 5.0 m from the right side. Find the two tensions in the cables at either end. T1 T2 77 kg 52 kg T2 = 801 N, T1 = 465 N

Find the tension in the cable 20.0m 16.0m 15 kg T 35 kg 7.0m (Fulcrum) Find the tension in the cable and the upward force from the fulcrum. (hint – torque about the fulcrum – you will need to figure out the distances) T = 181 N, Fy = 309 N up

18.0kg 12.0kg The beam is uniform and 8.00 m long, the strut is attached 3.20 m from the left side at a 52.0o angle with the beam. The box is centered 1.50 m from the beam’s right side. F, Wx, Wy F = 584 N, Wx = 359 N left, Wy = 166 N down

The beam is uniform and 6. 00 m long, the mass is hung 2 The beam is uniform and 6.00 m long, the mass is hung 2.00 m from the left side. Cable makes a 20.0o angle with the horizontal. T, Wx, Wy 85.0kg 41.0kg T = 1611 N, Wx = 1514 N left, Wy = 685 N up

Find the tension in the cable The 10.0 kg beam is uniform and 8.00 m long and makes an angle of 35.0o with the wall, the cable is attached 3.80 m from the bottom end. Find the tension in the cable and the force exerted by the wall in the x and y direction (Careful what angle you use for the tension) 14.0 kg T = 274.8 N, Wx = 274.8 N right, Wy = 235.4 N up